Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics | Zendy

Maha S. M. Shehata | Zendy

Open Access

Extended Jacobian Elliptic Function Expansion Method and its Applications for Solving some Nonlinear Evolution Equations in Mathematical Physics

Author(s) -

Maha S. M. Shehata

Publication year - 2015

Publication title -

international journal of computer applications

Language(s) - English

Resource type - Journals

ISSN - 0975-8887

DOI - 10.5120/19237-0621

Subject(s) - jacobian matrix and determinant , computer science , elliptic function , nonlinear system , mathematics , function (biology) , elliptic integral , calculus (dental) , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology , medicine , dentistry

Extended Jacobian elliptic function expansion method is employed to find the exact traveling wave solutions involving parameters for nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that extended Jacobian elliptic function expansion method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

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